Institute for Pure & Applied Mathematics (IPAM) Courses

Oscillator-to-Oscillator Codes Do Not Have a Threshold

Explores limitations of oscillator-to-oscillator codes in quantum information, proving they lack a threshold property for error correction when using constant squeezing and maximum likelihood decoding.

• YouTube
• 20 minutes
• On-Demand
• Free Video

On Mix-Norms and the Rate of Decay of Correlations

Explores mix-norms and correlation decay rates in complex flows, discussing q-recurrence, q-transience, and their implications for measuring mixing intensity in various systems.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Small Scale Formations in the Incompressible Porous Media Equation

Explore small scale formations in incompressible porous media equations, including infinite-time growth of Sobolev norms and potential finite-time blow-up scenarios.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Analytical and Empirical Tools for Nonlinear Network Observability in Autonomous Systems

Explore nonlinear network observability in autonomous systems, covering analytical and empirical tools for sensor selection, network analysis, and applications in engineering and biology.

• YouTube
• 44 minutes
• On-Demand
• Free Video

A Multi-Population Traffic Flow Model on Networks Accounting for Vehicle Automation

Explore a multi-population traffic flow model accounting for vehicle automation, analyzing strategic choices based on information levels and their impact on traffic efficiency.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Deployment of Autonomous Fleet Mobility Services at Scale

Explores deployment scenarios and network impacts of autonomous fleet mobility services, discussing optimization challenges, integration with existing transit, and potential societal benefits.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Towards Assurance-Based Learning-Enabled Cyber-Physical Systems

Exploring formal verification, monitoring, and safety case formalization for assurance-based learning-enabled cyber-physical systems, focusing on autonomous vehicles and their complex components.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Abstractions for Programming Distributed Robotic Applications

Explore programming abstractions for distributed robotic systems, focusing on platform-independent control and coordination code that's portable and verifiable, using the Koord language.

• YouTube
• 38 minutes
• On-Demand
• Free Video

From Connected and Autonomous Vehicles Control to Vehicular Traffic Control

Explore innovative traffic control strategies, from individual vehicle management to large-scale systems, addressing technological advancements and methodological challenges in road traffic management.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Perception and Learning for Autonomous Driving - Part 1

Explore perception and learning for autonomous driving, covering sensor suites, deep neural networks, and object detection techniques in this comprehensive tutorial.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Arctic Curves for Ice Models

Explore arctic curves in statistical mechanics, focusing on the six-vertex model with ice point and domain-wall boundary data. Learn about the geometric tangent method for locating arctic boundaries.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Schubert Calculus and Quantum Integrability

Explore recent advancements in Schubert calculus and its connection to quantum integrable systems, focusing on combinatorial formulae for intersection numbers and their extensions.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Algebraic Entropy in Combinatorial Dynamical Systems

Explore algebraic entropy in combinatorial dynamical systems, focusing on T-systems and R-systems. Discover classification results and connections to Cartan matrices and dynamical algebraic combinatorics.

• YouTube
• 53 minutes
• On-Demand
• Free Video

On the 5-Vertex Model

Exploration of the 5-vertex model, a generalization of lozenge tiling, discussing free energy, surface tension, and probabilities. Insights into asymptotic algebraic combinatorics and lattice path models.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Solving High Dimensional HJ Equations Using Generalized Hopf-Lax Formulas vs Using Machine Learning

Explore advanced techniques for solving high-dimensional Hamilton-Jacobi equations, comparing generalized Hopf-Lax formulas with machine learning approaches in control and differential games.

• YouTube
• 39 minutes
• On-Demand
• Free Video